Eigenvalues of discontinuous Sturm-Liouville problems with symmetric potentials

DOI10.1016/0898-1221(89)90220-4zbMath0682.65054OpenAlexW2039400441MaRDI QIDQ1824371

Mei Kobayashi

Publication date: 1989

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(89)90220-4

zbMATH Keywords

eigenvaluesdiscontinuitiespotential functiondiscontinuous Sturm-Liouville systemsfourth order Runge- Kutta methodsymmetric jump conditions

Mathematics Subject Classification ID

Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Ordinary differential operators (34L99)

Related Items (10)

A singular Sturm-Liouville problem with limit circle endpoint and boundary conditions rationally dependent on the eigenparameter ⋮ A class of second-order differential operators with eigenparameter-dependent boundary and transmission conditions ⋮ Solving Sturm-Liouville inverse problems by an orthogonalized enhanced boundary function method and a product formula for symmetric potential ⋮ On basis property of root functions for a class second order differential operator ⋮ STURM–LIOUVILLE PROBLEMS WITH DISCONTINUOUS POTENTIAL ⋮ On Basis Property of Root Functions for a Class of the Second Order Differential Operators ⋮ New type of Sturm-Liouville problems in associated Hilbert spaces ⋮ Sturm-Liouville problems with discontinuities at two points ⋮ Basis properties of the eigenfunctions of two-interval Sturm-Liouville problems ⋮ Green function of fourth-order differential operator with eigenparameter-dependent boundary and transmission conditions

Cites Work

• Unnamed Item
• High order embedded Runge-Kutta formulae
• An algorithm for discontinuous inverse Sturm-Liouville problems with symmetric potentials
• The Inverse Sturm-Liouville Problem and the Rayleigh-Ritz Method

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